How to say one minute past midnight in military time?

Solution 1:

From wikipedia:

Leading zeros are always written out and are required to be spoken, so 5:43 a.m. is spoken "zero five forty-three" (casually) or "zero five four three" (military radio), as opposed to "five forty-three".

From a military forum:

Written: 0001 (1201AM) Verbalized: Zero oh oh One Hours (or Zero Zero Zero One Hours)